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Finding the Fourth Proportional to 14,385.60, 21,546 and 7,367.76

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Solution

The fourth proportional to 14,385.60, 21,546 and 7,367.76 is: 11,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.60 : 21,546 = 7,367.76 : x
  2. Step 2: Convert to fraction form
    14,385.60/21,546 = 7,367.76/x
  3. Step 3: Cross multiply
    14,385.60x = 21,546 × 7,367.76
  4. Step 4: Simplify right side
    14,385.60x = 158,745,756.96
  5. Step 5: Solve for x
    x = 158,745,756.96/14,385.60
  6. Step 6: Final answer
    x = 11,035.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.